Random non-response in multi-character surveys

In the present investigation, we have made first shot to propose an alternative estimator of population total, in the presence of random non-response, for multi-characteristics by using probability proportional to size and without replacement (PPSWOR) sampling when the selection probabilities are poorly correlated with the study variables. The mean square error (MSE) expressions are derived for the proposed estimator. The behavior of the proposed estimator has been examined under super population model. An empirical study has also been carried out to look into the performance of the proposed estimator. The proposed estimator has been applied to real data set.